2006782101 has 8 divisors (see below), whose sum is σ = 2973010560. Its totient is φ = 1337854716.

The previous prime is 2006782097. The next prime is 2006782121. The reversal of 2006782101 is 1012876002.

It is not a de Polignac number, because 2006782101 - 2² = 2006782097 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 74325263 = 2006782101 / (2 + 0 + 0 + 6 + 7 + 8 + 2 + 1 + 0 + 1).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2006782121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37162605 + ... + 37162658.

It is an arithmetic number, because the mean of its divisors is an integer number (371626320).

Almost surely, 2^2006782101 is an apocalyptic number.

It is an amenable number.

2006782101 is a deficient number, since it is larger than the sum of its proper divisors (966228459).

2006782101 is an equidigital number, since it uses as much as digits as its factorization.

2006782101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74325272 (or 74325266 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 2006782101 is about 44797.1215704759. The cubic root of 2006782101 is about 1261.3435950991.

The spelling of 2006782101 in words is "two billion, six million, seven hundred eighty-two thousand, one hundred one".